Publication detail

On a Nearly Forgotten Polynomial Result by P. Bohl

ČERMÁK, J. FEDORKOVÁ, L.

Original Title

On a Nearly Forgotten Polynomial Result by P. Bohl

Type

journal article in Web of Science

Language

English

Original Abstract

Piers Bohl (1865-1921) was an outstanding Latvian mathematician whose name is particularly connected with several crucial achievements that were ahead of their time. Unfortunately, the contemporary mathematical community did not recognize their significance. This paper discusses one of Bohl's results from 1908 that remained nearly unnoticed, even up until the present. It concerns a general complex trinomial and answers the problem of the distribution of its roots with respect to a given modulus. During the last few decades, this and other related problems have been extensively studied in numerous particular cases, without knowledge of this existing answer. This paper recalls the aforementioned Bohl's result and illustrates how easily it can imply conclusions of recent as well as older works regarding this topic.

Keywords

Complex trinomial; location of roots

Authors

ČERMÁK, J.; FEDORKOVÁ, L.

Released

1. 2. 2023

Publisher

Taylor & Francis

Location

PHILADELPHIA

ISBN

0002-9890

Periodical

AMERICAN MATHEMATICAL MONTHLY

Year of study

130

Number

2

State

United States of America

Pages from

176

Pages to

181

Pages count

6

URL

https://doi.org/10.1080/00029890.2022.2144090

Full text in the Digital Library

http://hdl.handle.net/11012/213732

BibTex

@article{BUT182861,
  author="Jan {Čermák} and Lucie {Fedorková}",
  title="On a Nearly Forgotten Polynomial Result by P. Bohl",
  journal="AMERICAN MATHEMATICAL MONTHLY",
  year="2023",
  volume="130",
  number="2",
  pages="176--181",
  doi="10.1080/00029890.2022.2144090",
  issn="0002-9890",
  url="https://doi.org/10.1080/00029890.2022.2144090"
}